SOLUTION: To find the height of a mountain, a group of students measured the elevation angle of the mountain which was 30 degrees and moved horizontally towards the mountain a distance of 15

Question 1105378: To find the height of a mountain, a group of students measured the elevation angle of the mountain which was 30 degrees and moved horizontally towards the mountain a distance of 1500 m and measured the elevation angel again which was 35 degrees. What is the height of the mountain? (Show your work).
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
|
|y
|
|===============---------------------Person
-------x------------/======1500======
From the person, tangent of 30=y/(x+1500)
tangent 35=y/x
0.5774(x+1500)=y
0.7002x=y
set the two equal to each other
0.5774x+866.1=0.7002x
866.1=0.1228 x
x=7052.93 m
Therefore, y=0.7002*x=4938.6 m ANSWER
check with other
0.5774 should equal 4938.6/8552.93, which it does.
RELATED QUESTIONS
A surveying crew is tasked to measure the height of a mountain. From a point on level... (answered by xinxin)

A motorist noticed that as he got 10 km closer to a mountain, the angle of elevation of... (answered by ankor@dixie-net.com)

cindy is standing at a point A west of a mountain. From point A, the angle of elevation... (answered by Boreal)

jonah is driving along a straight and level road towards a mountain. At some point, he... (answered by Alan3354)

I am standing at the trailhead of a mountain trail on level ground. I know from my map... (answered by Earlsdon)

I really appreciate if you could please help me with this problem. You are standing... (answered by scott8148)

please help me solve this problem: HEIGHT OF A PROBLEM: In traveling across flat land,... (answered by Alan3354)

While traveling across flat land, you notice a mountain directly in front of you. The... (answered by ankor@dixie-net.com)

A man measures the angle of elevation to the top of a mountain to be 12 degrees. He... (answered by addingup,MathTherapy)